The present invention relates to a power generator and method for forming the same. More specifically, the present invention comprises a chamber containing a solid oxide fuel cell (SOFC), with a spiral-wound counter-current heat exchanger encompassing the chamber. The spiral-wound counter-current heat exchanger includes a first inlet and an outlet, where both the first inlet and the outlet are connected with the chamber such that reactants introduced into the power generator flow into the first inlet and past the SOFC, where the reactants react to produce energy and reaction products. The reaction products thereafter transfer heat to the reactants and subsequently exit through the outlet. A reactor can be positioned downstream of the SOFC for converting reactants not reacted by the SOFC.